SETS

The number of elements in the subset of a null set are

• 0

• 1

Answer explanation

Null set contains 0 elements

• Law of identity element

• Idempotent law

• Commutative Law

• [5 6]

• (5 6)

• [5 6)

• (5 6]

Answer explanation

Real numbers between 5 and 6 will be the intersection with 5 included and 6 not included

Which of the following are well defined sets?

• Difficult Problems in Maths

• Popular leaders of a country

• Student of class XI of a particular class

• A collection of all even integers

Answer explanation

Difficulty in Maths and list of popular leaders are not well defined

Let A ={1 , 2, {3 ,4}, 5}. Which of the following statements are True

Answer explanation

{3, 4} is an element of A but not subset

Which of the following are examples of a Null Set

• Set of all natural numbers divisible by 2

• Set of even prime numbers

• {x : x is a natural number, x <1, x >1}

• {y : y is point common to any two parallel lines}

Answer explanation

There is no natural number such that x >1 and x<1. Two parallel lines have no common point

Answer explanation

At the union of sets, 1 is not included and 10 is included

• TRUE

• FASLE

Answer explanation

The factors of 35 are 1,5,7,35

Identify the set represented by the Venn Diagram

• A'

• B'

Given Universal set is U = set of real numbers and a set A = set of rational numbers then A' is

• Set of Natural Numbers

• Set of Real Numbers

• Set of fractions

• Set of irrational numbers